Question

plz solve this expoonential equation​

Answer 1

√2 can be written as 2^½

Hence, the equation actually is

(2^½)^x = 2⁸

$\sf 2^{\frac{x}{2}} = 2^8$

Comparing the indices,

x/2 = 8

→ x = 16

Answer : 16

Answer 2

Answer:

$⇒( \sqrt{?} {)}^{x} = {2}^{8}$

$⇒( \sqrt{2} {)}^{2x} = ( {2}^{8} {)}^{2}$

$⇒ {2}^{x} = {2}^{16}$

$⇒x = 16$

$\\ \\ \\ \\ \sf \colorbox{lightgreen} {\red★ANSWER ᵇʸɴᴀᴡᴀʙ}$